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Finding the Fourth Proportional to 8,282.32, 11,430.08 and 4,697.42

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Solution

The fourth proportional to 8,282.32, 11,430.08 and 4,697.42 is: 6,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.32 : 11,430.08 = 4,697.42 : x
  2. Step 2: Convert to fraction form
    8,282.32/11,430.08 = 4,697.42/x
  3. Step 3: Cross multiply
    8,282.32x = 11,430.08 × 4,697.42
  4. Step 4: Simplify right side
    8,282.32x = 53,691,855.52
  5. Step 5: Solve for x
    x = 53,691,855.52/8,282.32
  6. Step 6: Final answer
    x = 6,482.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.